an ellipse has eccentricity 1/3. find the distance between two directrix if the distance between foci is 3.

2ae=3.

2a*1/3=3.

2a/3 =3.

2a=9.

a=9/2=4.5

diatnce between the directrix =2a/e.

2*4.5/1/3

=9/1/3

=9*3=27.